Details

Time bar (total: 19.0s)

sample72.0ms

Algorithm
intervals
Results
38.0ms321×body80valid

simplify4.2s

Counts
1 → 1
Iterations

Useful iterations: done (4.2s)

IterNodesCost
01417
12517
24916
310516
419516
529715
647115
790915
8297515
done500014

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
0.1b
(/ (fma 2.0 1.0 (/ 2.0 z)) t)

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
51×add-sqr-sqrt add-cube-cbrt
45×times-frac
41×associate-+r+
39×prod-diff
13×fma-def
7×add-log-exp
5×div-inv
4×add-exp-log add-cbrt-cube
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u frac-add sum-log log1p-expm1-u distribute-lft-out
1×cbrt-undiv +-commutative associate-+r- sub-neg flip3-- frac-2neg flip3-+ diff-log div-exp clear-num flip-- flip-+ distribute-lft-out--
Counts
2 → 102
Calls
2 calls:
90.0ms
(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
10.0ms
(/ (fma 2.0 1.0 (/ 2.0 z)) t)

series157.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
73.0ms
(/ (fma 2.0 1.0 (/ 2.0 z)) t)

simplify2.5s

Counts
108 → 108
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
02241965
14971754
211911641
341101515
done50001515

prune339.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (/ 2.0 t) (/ 2.0 (* t z))) (- (/ x y) 2.0))
0.0b
(+ (/ 2.0 t) (/ 2.0 (* t z)))
0.6b
(/ 2.0 (* t z))

rewrite271.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
47×add-sqr-sqrt add-cube-cbrt
41×associate-+r+
39×times-frac prod-diff
18×fma-def
17×add-log-exp
10×distribute-lft-out
9×frac-add div-inv
8×add-exp-log add-cbrt-cube
7×sum-log
4×flip3-+ flip-+
3×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l*
2×cbrt-undiv +-commutative diff-log div-exp distribute-lft-out--
1×associate-+r- sub-neg associate-+l+ frac-2neg prod-exp clear-num associate-/r* cbrt-unprod
Counts
3 → 126
Calls
3 calls:
214.0ms
(+ (+ (/ 2.0 t) (/ 2.0 (* t z))) (- (/ x y) 2.0))
35.0ms
(+ (/ 2.0 t) (/ 2.0 (* t z)))
10.0ms
(/ 2.0 (* t z))

series192.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(+ (+ (/ 2.0 t) (/ 2.0 (* t z))) (- (/ x y) 2.0))
84.0ms
(+ (/ 2.0 t) (/ 2.0 (* t z)))
35.0ms
(/ 2.0 (* t z))

simplify2.4s

Counts
135 → 135
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02582515
17262234
226422119
done50002035

prune605.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (fma 2.0 1.0 (/ 2.0 z)) (/ 1 t) (- (/ x y) 2.0))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (fma 2.0 1.0 (/ 2.0 z)) (/ 1 t) (- (/ x y) 2.0))

series99.0ms

Counts
1 → 3
Calls
1 calls:
99.0ms
(fma (fma 2.0 1.0 (/ 2.0 z)) (/ 1 t) (- (/ x y) 2.0))

simplify2.1s

Counts
13 → 13
Iterations

Useful iterations: done (2.1s)

IterNodesCost
030241
156240
2122191
3383191
41980190
done5002189

prune69.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fma 2.0 1.0 (/ 2.0 z)))
0.0b
(sqrt (fma 2.0 1.0 (/ 2.0 z)))
0.3b
(/ (sqrt (fma 2.0 1.0 (/ 2.0 z))) t)
0.3b
(* (sqrt (fma 2.0 1.0 (/ 2.0 z))) (/ (sqrt (fma 2.0 1.0 (/ 2.0 z))) t))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
36×add-cube-cbrt *-un-lft-identity
35×sqrt-prod
22×associate-*r*
11×add-exp-log add-cbrt-cube
8×pow1
6×associate-*l* associate-/l* unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r*
2×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp prod-exp cbrt-unprod div-inv
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
4 → 121
Calls
4 calls:
3.0ms
(sqrt (fma 2.0 1.0 (/ 2.0 z)))
3.0ms
(sqrt (fma 2.0 1.0 (/ 2.0 z)))
12.0ms
(/ (sqrt (fma 2.0 1.0 (/ 2.0 z))) t)
43.0ms
(* (sqrt (fma 2.0 1.0 (/ 2.0 z))) (/ (sqrt (fma 2.0 1.0 (/ 2.0 z))) t))

series428.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(sqrt (fma 2.0 1.0 (/ 2.0 z)))
77.0ms
(sqrt (fma 2.0 1.0 (/ 2.0 z)))
226.0ms
(/ (sqrt (fma 2.0 1.0 (/ 2.0 z))) t)
67.0ms
(* (sqrt (fma 2.0 1.0 (/ 2.0 z))) (/ (sqrt (fma 2.0 1.0 (/ 2.0 z))) t))

simplify2.8s

Counts
133 → 133
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01582393
13572012
210791812
336381758
done50001753

prune569.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes180.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
11314
done1314

end0.0ms

sample1.6s

Algorithm
intervals
Results
984.0ms10566×body80valid